{"id":62008,"date":"2026-01-19T06:26:09","date_gmt":"2026-01-18T22:26:09","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/62008.html"},"modified":"2026-01-19T06:26:09","modified_gmt":"2026-01-18T22:26:09","slug":"2026-01-19%ef%bc%9a%e5%b8%a6%e4%bc%a0%e9%80%81%e7%9a%84%e6%9c%80%e5%b0%8f%e8%b7%af%e5%be%84%e6%88%90%e6%9c%ac%e3%80%82%e7%94%a8go%e8%af%ad%e8%a8%80%ef%bc%8c%e7%bb%99%e5%ae%9a%e4%b8%80%e4%b8%aa-mx","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/62008.html","title":{"rendered":"2026-01-19\uff1a\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00\uff0c\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)\uff0c\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb"},"content":{"rendered":"<p>2026-01-19&#xff1a;\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00&#xff0c;\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)&#xff0c;\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u76f8\u90bb\u79fb\u52a8&#xff1a;\u5411\u53f3\u6216\u5411\u4e0b\u8d70\u4e00\u6b65&#xff08;\u4ece (i,j) \u5230 (i,j&#043;1) \u6216 (i&#043;1,j)&#xff09;&#xff0c;\u4ee3\u4ef7\u7b49\u4e8e\u4f60\u8fdb\u5165\u7684\u90a3\u4e2a\u683c\u5b50\u7684\u6570\u503c&#xff1b;<\/p>\n<\/li>\n<li>\n<p>\u4f20\u9001&#xff1a;\u4ece\u5f53\u524d\u683c\u5b50\u8df3\u5230\u4efb\u610f\u4e00\u4e2a\u6570\u503c\u4e0d\u5927\u4e8e\u5f53\u524d\u683c\u5b50\u7684\u683c\u5b50&#xff08;grid[x][y] \u2264 grid[i][j]&#xff09;&#xff0c;\u4f20\u9001\u4e0d\u6d88\u8017\u4ee3\u4ef7&#xff0c;\u4f46\u6700\u591a\u53ea\u80fd\u4f7f\u7528 k \u6b21\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u76ee\u6807\u662f\u8ba1\u7b97\u4ece\u8d77\u70b9\u5230\u7ec8\u70b9\u6240\u9700\u7684\u6700\u5c0f\u603b\u8d39\u7528&#xff08;\u6240\u6709\u79fb\u52a8\u4ee3\u4ef7\u4e4b\u548c&#xff09;\u3002<\/p>\n<p>2 &lt;&#061; m, n &lt;&#061; 80\u3002<\/p>\n<p>m &#061;&#061; grid.length\u3002<\/p>\n<p>n &#061;&#061; grid[i].length\u3002<\/p>\n<p>0 &lt;&#061; grid[i][j] &lt;&#061; 10000\u3002<\/p>\n<p>0 &lt;&#061; k &lt;&#061; 10\u3002<\/p>\n<p>\u8f93\u5165: grid &#061; [[1,3,3],[2,5,4],[4,3,5]], k &#061; 2\u3002<\/p>\n<p>\u8f93\u51fa: 7\u3002<\/p>\n<p>\u89e3\u91ca:<\/p>\n<table>\n<tr>\u5f53\u524d\u4f4d\u7f6e\u79fb\u52a8\u65b0\u4f4d\u7f6e\u603b\u6210\u672c<\/tr>\n<tbody>\n<tr>\n<td>(0, 0)<\/td>\n<td>\u5411\u4e0b\u79fb\u52a8<\/td>\n<td>(1, 0)<\/td>\n<td>0 &#043; 2 &#061; 2<\/td>\n<\/tr>\n<tr>\n<td>(1, 0)<\/td>\n<td>\u5411\u53f3\u79fb\u52a8<\/td>\n<td>(1, 1)<\/td>\n<td>2 &#043; 5 &#061; 7<\/td>\n<\/tr>\n<tr>\n<td>(1, 1)<\/td>\n<td>\u4f20\u9001\u5230 (2, 2)<\/td>\n<td>(2, 2)<\/td>\n<td>7 &#043; 0 &#061; 7<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u6211\u4eec\u6700\u521d\u5728 (0, 0)&#xff0c;\u6210\u672c\u4e3a 0\u3002<\/p>\n<p>\u9898\u76ee\u6765\u81ea\u529b\u62633651\u3002<\/p>\n<h2>&#x1f9e0; \u7b97\u6cd5\u8fc7\u7a0b\u8be6\u89e3<\/h2>\n<li>\n<p>\u521d\u59cb\u5316\u4e0e\u8fb9\u754c\u68c0\u67e5<br \/>\n\u7b97\u6cd5\u9996\u5148\u83b7\u53d6\u7f51\u683c\u7684\u884c\u6570 m \u548c\u5217\u6570 n\u3002\u5b83\u8fdb\u884c\u4e86\u4e00\u9879\u5173\u952e\u68c0\u67e5&#xff1a;\u5982\u679c\u5141\u8bb8\u4f20\u9001&#xff08;k &gt; 0&#xff09;\u5e76\u4e14\u8d77\u70b9\u7684\u503c\u5927\u4e8e\u7ec8\u70b9\u7684\u503c&#xff08;grid[0][0] &gt; grid[m-1][n-1]&#xff09;&#xff0c;\u5219\u53ef\u4ee5\u76f4\u63a5\u4ece\u8d77\u70b9\u4f20\u9001\u5230\u7ec8\u70b9&#xff0c;\u603b\u6210\u672c\u4e3a0&#xff0c;\u7b97\u6cd5\u76f4\u63a5\u8fd4\u56de0\u3002\u8fd9\u662f\u56e0\u4e3a\u4f20\u9001\u89c4\u5219\u5141\u8bb8\u8df3\u5230\u4efb\u610f\u6570\u503c\u4e0d\u5927\u4e8e\u5f53\u524d\u683c\u5b50\u7684\u683c\u5b50&#xff0c;\u4e14\u4e0d\u6d88\u8017\u4ee3\u4ef7\u3002<\/p>\n<\/li>\n<li>\n<p>\u786e\u5b9a\u6570\u503c\u8303\u56f4\u5e76\u521d\u59cb\u5316\u5173\u952e\u6570\u7ec4<br \/>\n\u7b97\u6cd5\u904d\u5386\u6574\u4e2a\u7f51\u683c&#xff0c;\u627e\u5230\u5176\u4e2d\u6700\u5927\u7684\u6570\u503c mx&#xff0c;\u8fd9\u5b9a\u4e49\u4e86\u95ee\u9898\u4e2d\u683c\u5b50\u6570\u503c\u7684\u8303\u56f4\u3002<br \/>\n\u63a5\u7740&#xff0c;\u521d\u59cb\u5316\u4e09\u4e2a\u5173\u952e\u6570\u7ec4&#xff1a;<\/p>\n<ul>\n<li>sufMinF: \u5927\u5c0f\u4e3a mx&#043;2\u3002sufMinF[x] \u7528\u4e8e\u8bb0\u5f55\u5728\u5f53\u524d\u8fed\u4ee3\u4e2d&#xff0c;\u5230\u8fbe\u67d0\u4e2a\u683c\u5b50\u540e&#xff0c;\u80fd\u591f\u901a\u8fc7\u4e00\u6b21\u4f20\u9001\u5230\u8fbe\u6240\u6709\u6570\u503c\u5c0f\u4e8e\u7b49\u4e8e x \u7684\u683c\u5b50\u6240\u9700\u7684\u6700\u5c0f\u7d2f\u8ba1\u6210\u672c\u3002\u521d\u59cb\u65f6&#xff0c;\u5176\u6bcf\u4e2a\u5143\u7d20\u88ab\u8bbe\u7f6e\u4e3a\u4e00\u4e2a\u6781\u5927\u503c&#xff08;math.MaxInt&#xff09;\u3002<\/li>\n<li>minF: \u5927\u5c0f\u4e3a mx&#043;1\u3002\u5728\u5f53\u524d\u884c\u7684\u8ba1\u7b97\u8fc7\u7a0b\u4e2d&#xff0c;minF[x] \u4e34\u65f6\u8bb0\u5f55\u5230\u8fbe\u5f53\u524d\u884c\u67d0\u4e2a\u6570\u503c\u4e3a x \u7684\u683c\u5b50\u7684\u6700\u5c0f\u7d2f\u8ba1\u6210\u672c\u3002\u6bcf\u6b21\u8ba1\u7b97\u65b0\u7684\u4e00\u884c\u524d\u4f1a\u88ab\u91cd\u7f6e\u4e3a\u6781\u5927\u503c\u3002<\/li>\n<li>f: \u5927\u5c0f\u4e3a n&#043;1\u3002\u8fd9\u662f\u4e00\u4e2a\u52a8\u6001\u89c4\u5212\u6570\u7ec4&#xff0c;\u7528\u4e8e\u8fdb\u884c\u7a7a\u95f4\u4f18\u5316\u7684\u8def\u5f84\u8ba1\u7b97\u3002f[j] \u4ee3\u8868\u5728\u5f53\u524d\u884c&#xff0c;\u5230\u8fbe\u7b2c j \u5217\u683c\u5b50\u7684\u6700\u5c0f\u7d2f\u8ba1\u6210\u672c&#xff08;\u6ce8\u610f\u7d22\u5f15\u504f\u79fb&#xff0c;f[1] \u5bf9\u5e94\u7b2c0\u5217&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u6838\u5fc3\u8fed\u4ee3&#xff1a;\u6a21\u62df\u6700\u591a k \u6b21\u4f20\u9001\u673a\u4f1a<br \/>\n\u7b97\u6cd5\u8fdb\u884c k&#043;1 \u6b21\u8fed\u4ee3&#xff08;\u56e0\u4e3a\u6700\u591a\u53ef\u4ee5\u4f7f\u7528 k \u6b21\u4f20\u9001&#xff0c;\u5305\u62ec0\u6b21&#xff09;\u3002\u6bcf\u6b21\u8fed\u4ee3\u5305\u542b\u4e24\u4e2a\u4e3b\u8981\u9636\u6bb5&#xff1a;\u52a8\u6001\u89c4\u5212\u8ba1\u7b97\u5f53\u524d\u8def\u5f84\u6210\u672c\u548c\u66f4\u65b0\u4f20\u9001\u4f18\u5316\u4fe1\u606f\u3002<\/p>\n<ul>\n<li>\n<p>\u9636\u6bb5\u4e00&#xff1a;\u52a8\u6001\u89c4\u5212\u8ba1\u7b97\u8def\u5f84\u6210\u672c<br \/>\n\u5728\u6b64\u9636\u6bb5&#xff0c;\u7b97\u6cd5\u5ffd\u7565\u4f20\u9001&#xff0c;\u8ba1\u7b97\u4ece\u8d77\u70b9\u5230\u6bcf\u4e2a\u683c\u5b50\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c&#xff0c;\u89c4\u5219\u662f\u53ea\u80fd\u5411\u53f3\u6216\u5411\u4e0b\u79fb\u52a8&#xff0c;\u8fdb\u5165\u4e00\u4e2a\u683c\u5b50\u7684\u6210\u672c\u662f\u8be5\u683c\u5b50\u7684\u503c\u3002\u5b83\u4f7f\u7528\u6eda\u52a8\u6570\u7ec4 f \u8fdb\u884c\u7a7a\u95f4\u4f18\u5316&#xff1a;<\/p>\n<ul>\n<li>\u521d\u59cb\u5316 f \u4e3a\u6781\u5927\u503c&#xff0c;\u5e76\u8bbe\u7f6e f[1] &#061; -grid[0][0]\u3002\u8fd9\u662f\u56e0\u4e3a\u8d77\u70b9&#xff08;\u5de6\u4e0a\u89d2&#xff09;\u7684\u6210\u672c\u4e0d\u8ba1\u5165&#xff08;\u6839\u636e\u9898\u76ee\u63cf\u8ff0&#xff0c;\u4ee3\u4ef7\u7b49\u4e8e\u201c\u8fdb\u5165\u7684\u90a3\u4e2a\u683c\u5b50\u7684\u6570\u503c\u201d&#xff0c;\u8d77\u70b9\u662f\u51fa\u53d1\u70b9&#xff0c;\u4e0d\u5e94\u7b97\u4f5c\u201c\u8fdb\u5165\u201d&#xff09;\u3002<\/li>\n<li>\u904d\u5386\u6bcf\u4e00\u884c i&#xff1a;\n<ul>\n<li>\u904d\u5386\u8be5\u884c\u7684\u6bcf\u4e00\u5217 j \u548c\u5bf9\u5e94\u7684\u683c\u5b50\u503c x&#xff1a;\n<ul>\n<li>\u8ba1\u7b97 f[j&#043;1] \u7684\u65b0\u503c\u3002\u5b83\u8003\u8651\u4e24\u79cd\u79fb\u52a8\u65b9\u5f0f&#xff1a;\n<li>\u4ece\u5de6\u8fb9\u683c\u5b50\u5411\u53f3\u79fb\u52a8\u8fc7\u6765&#xff1a;\u6210\u672c\u662f f[j] &#043; x\u3002<\/li>\n<li>\u4ece\u4e0a\u8fb9\u683c\u5b50\u5411\u4e0b\u79fb\u52a8\u8fc7\u6765&#xff1a;\u6210\u672c\u662f f[j&#043;1] &#043; x&#xff08;\u8fd9\u91cc\u7684 f[j&#043;1] \u662f\u4e0a\u4e00\u884c\u540c\u4e00\u5217\u7684\u503c&#xff0c;\u5728\u904d\u5386\u8fc7\u7a0b\u4e2d\u88ab\u4fdd\u7559&#xff09;\u3002<\/li>\n<\/li>\n<li>\u5173\u952e\u70b9&#xff1a;\u6b64\u5916&#xff0c;\u5b83\u8fd8\u8003\u8651\u7b2c\u4e09\u79cd\u53ef\u80fd&#xff0c;\u5373\u901a\u8fc7\u4e00\u6b21\u4f20\u9001\u5230\u8fbe\u5f53\u524d\u683c\u5b50\u3002\u8fd9\u4e2a\u4fe1\u606f\u6765\u81ea sufMinF[x]&#xff0c;\u5b83\u4ee3\u8868\u4e86\u5728\u4e4b\u524d\u7684\u72b6\u6001\u4e0b&#xff0c;\u901a\u8fc7\u4e00\u6b21\u4f20\u9001\u5230\u8fbe\u6570\u503c\u4e3a x \u7684\u683c\u5b50\u7684\u6700\u5c0f\u6210\u672c\u3002<\/li>\n<li>f[j&#043;1] \u53d6\u8fd9\u4e09\u79cd\u60c5\u51b5\u7684\u6700\u5c0f\u503c\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u5728\u8ba1\u7b97\u5b8c\u4e00\u884c\u7684 f \u503c\u540e&#xff0c;\u66f4\u65b0 minF \u6570\u7ec4&#xff1a;\u5bf9\u4e8e\u5f53\u524d\u884c\u7684\u6bcf\u4e2a\u6570\u503c x&#xff0c;minF[x] \u66f4\u65b0\u4e3a\u6240\u6709\u6570\u503c\u4e3a x \u7684\u683c\u5b50\u7684 f \u503c\u4e2d\u7684\u6700\u5c0f\u503c\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u9636\u6bb5\u4e8c&#xff1a;\u66f4\u65b0\u4f20\u9001\u4f18\u5316\u4fe1\u606f<br \/>\n\u8fd9\u4e2a\u9636\u6bb5\u57fa\u4e8e\u672c\u8f6e\u52a8\u6001\u89c4\u5212\u8ba1\u7b97\u51fa\u7684 minF \u6765\u66f4\u65b0 sufMinF&#xff0c;\u4e3a\u4e0b\u4e00\u6b21\u8fed\u4ee3&#xff08;\u5373\u591a\u4f7f\u7528\u4e00\u6b21\u4f20\u9001&#xff09;\u505a\u51c6\u5907\u3002<\/p>\n<ul>\n<li>sufMinF[i] \u88ab\u66f4\u65b0\u4e3a min(sufMinF[i&#043;1], minF[i])\u3002\u8fd9\u4e2a\u64cd\u4f5c\u662f\u4ece\u5927\u5230\u5c0f\u904d\u5386\u6570\u503c&#xff0c;\u8ba1\u7b97 sufMinF \u7684\u540e\u7f00\u6700\u5c0f\u503c\u3002\u5176\u7269\u7406\u610f\u4e49\u662f&#xff1a;sufMinF[x] \u73b0\u5728\u8868\u793a&#xff0c;\u5728\u672c\u8f6e\u8fed\u4ee3\u540e&#xff0c;\u53ef\u4ee5\u901a\u8fc7\u4e00\u6b21\u4f20\u9001\u5230\u8fbe\u6570\u503c \u5c0f\u4e8e\u7b49\u4e8e x \u7684\u4efb\u610f\u683c\u5b50\u7684\u6700\u5c0f\u6210\u672c\u3002<\/li>\n<li>\u7b97\u6cd5\u68c0\u67e5 sufMinF \u6570\u7ec4\u662f\u5426\u5728\u672c\u8f6e\u8fed\u4ee3\u4e2d\u53d1\u751f\u4e86\u53d8\u5316\u3002\u5982\u679c\u6ca1\u6709\u53d8\u5316&#xff08;done \u4e3a true&#xff09;&#xff0c;\u8bf4\u660e\u4f20\u9001\u64cd\u4f5c\u5df2\u7ecf\u65e0\u6cd5\u63d0\u4f9b\u66f4\u4f18\u7684\u8def\u5f84&#xff0c;\u63d0\u524d\u7ec8\u6b62\u8fed\u4ee3\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u8fd4\u56de\u7ed3\u679c<br \/>\n\u5728\u5b8c\u6210\u6240\u6709\u8fed\u4ee3\u540e&#xff0c;\u6570\u7ec4 f \u7684\u6700\u540e\u4e00\u4e2a\u5143\u7d20 f[n] \u5c31\u5305\u542b\u4e86\u5230\u8fbe\u7ec8\u70b9&#xff08;\u53f3\u4e0b\u89d2&#xff09;\u7684\u6700\u5c0f\u603b\u6210\u672c&#xff0c;\u5c06\u5176\u8fd4\u56de\u3002<\/p>\n<\/li>\n<h2>\u23f1\ufe0f \u590d\u6742\u5ea6\u5206\u6790<\/h2>\n<ul>\n<li>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;\u8be5\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(k * m * n * mx)\u3002<\/p>\n<ul>\n<li>\u6700\u5916\u5c42\u5faa\u73af\u662f k \u6b21\u8fed\u4ee3\u3002<\/li>\n<li>\u6bcf\u6b21\u8fed\u4ee3\u4e2d&#xff0c;\u9700\u8981\u904d\u5386\u6574\u4e2a m x n \u7684\u7f51\u683c&#xff0c;\u590d\u6742\u5ea6\u4e3a O(m * n)\u3002<\/li>\n<li>\u5728\u6bcf\u6b21\u8fed\u4ee3\u7684\u6700\u540e&#xff0c;\u9700\u8981\u904d\u5386 minF \u6570\u7ec4&#xff08;\u5927\u5c0f\u4e3a mx&#xff09;\u6765\u66f4\u65b0 sufMinF&#xff0c;\u590d\u6742\u5ea6\u4e3a O(mx)\u3002<\/li>\n<li>\u56e0\u6b64&#xff0c;\u603b\u590d\u6742\u5ea6\u662f\u4e09\u8005\u76f8\u4e58\u3002\u5176\u4e2d mx \u662f\u7f51\u683c\u4e2d\u6570\u503c\u7684\u6700\u5927\u503c&#xff0c;\u5728\u672c\u9898\u7ea6\u675f\u4e0b&#xff08;grid[i][j] &lt;&#061; 10000&#xff09;&#xff0c;mx \u662f\u4e00\u4e2a\u5e38\u6570\u4e0a\u9650&#xff08;10000&#xff09;&#xff0c;\u4f46\u4ecd\u7136\u662f\u590d\u6742\u5ea6\u5206\u6790\u4e2d\u7684\u4e00\u4e2a\u56e0\u5b50\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;\u8be5\u7b97\u6cd5\u7684\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a O(n &#043; mx)\u3002<\/p>\n<ul>\n<li>\u4e3b\u8981\u7a7a\u95f4\u6d88\u8017\u5728\u4e8e sufMinF \u6570\u7ec4&#xff08;O(mx)&#xff09;\u3001minF \u6570\u7ec4&#xff08;O(mx)&#xff09;\u548c\u52a8\u6001\u89c4\u5212\u6570\u7ec4 f&#xff08;O(n)&#xff09;\u3002<\/li>\n<li>\u7b97\u6cd5\u4f7f\u7528\u4e86\u6eda\u52a8\u6570\u7ec4\u6280\u672f&#xff0c;\u907f\u514d\u5b58\u50a8\u6574\u4e2a m x n \u7684DP\u8868&#xff0c;\u4ece\u800c\u5c06\u7a7a\u95f4\u590d\u6742\u5ea6\u964d\u4f4e\u5230\u4e0e\u7f51\u683c\u7ef4\u5ea6\u65e0\u5173\u7684\u6c34\u5e73\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2>&#x1f48e; \u603b\u7ed3<\/h2>\n<p>\u8fd9\u4e2a\u7b97\u6cd5\u7684\u6838\u5fc3\u601d\u60f3\u662f\u901a\u8fc7\u591a\u6b21\u8fed\u4ee3&#xff08;\u6a21\u62df\u4f7f\u7528\u4f20\u9001\u6b21\u6570&#xff09;\u6765\u9010\u6b65\u4f18\u5316\u8def\u5f84\u6210\u672c\u3002\u5728\u6bcf\u6b21\u8fed\u4ee3\u4e2d&#xff0c;\u5b83\u5148\u8ba1\u7b97\u4e0d\u4f7f\u7528\u989d\u5916\u4f20\u9001\u65f6\u7684\u57fa\u7840\u8def\u5f84\u6210\u672c&#xff0c;\u7136\u540e\u5229\u7528\u4e0a\u4e00\u8f6e\u8fed\u4ee3\u5f97\u5230\u7684\u4f20\u9001\u4fe1\u606f&#xff08;sufMinF&#xff09;\u6765\u66f4\u65b0\u5f53\u524d\u8def\u5f84\u6210\u672c\u7684\u53ef\u80fd\u6027\u3002\u901a\u8fc7\u7ef4\u62a4\u57fa\u4e8e\u683c\u5b50\u6570\u503c\u7684\u4ee3\u4ef7\u540e\u7f00\u6700\u5c0f\u503c\u6570\u7ec4&#xff0c;\u9ad8\u6548\u5730\u6355\u6349\u4e86\u4f20\u9001\u64cd\u4f5c\u5e26\u6765\u7684\u4f18\u5316\u6548\u679c\u3002<\/p>\n<h2>Go\u5b8c\u6574\u4ee3\u7801\u5982\u4e0b&#xff1a;<\/h2>\n<p><span class=\"token keyword\">package<\/span> main<\/p>\n<p><span class=\"token keyword\">import<\/span> <span class=\"token punctuation\">(<\/span><br \/>\n<span class=\"token string\">&#034;fmt&#034;<\/span><br \/>\n<span class=\"token string\">&#034;math&#034;<\/span><br \/>\n<span class=\"token string\">&#034;slices&#034;<\/span><br \/>\n<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">func<\/span> <span class=\"token function\">minCost<\/span><span class=\"token punctuation\">(<\/span>grid <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token builtin\">int<\/span><span class=\"token punctuation\">,<\/span> k <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token builtin\">int<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nm<span class=\"token punctuation\">,<\/span> n <span class=\"token operator\">:&#061;<\/span> <span class=\"token function\">len<\/span><span class=\"token punctuation\">(<\/span>grid<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token function\">len<\/span><span class=\"token punctuation\">(<\/span>grid<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">if<\/span> k <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> grid<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> grid<span class=\"token punctuation\">[<\/span>m<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>mx <span class=\"token operator\">:&#061;<\/span> <span class=\"token number\">0<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token boolean\">_<\/span><span class=\"token punctuation\">,<\/span> row <span class=\"token operator\">:&#061;<\/span> <span class=\"token keyword\">range<\/span> grid <span class=\"token punctuation\">{<\/span><br \/>\nmx <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">max<\/span><span class=\"token punctuation\">(<\/span>mx<span class=\"token punctuation\">,<\/span> slices<span class=\"token punctuation\">.<\/span><span class=\"token function\">Max<\/span><span class=\"token punctuation\">(<\/span>row<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>sufMinF <span class=\"token operator\">:&#061;<\/span> <span class=\"token function\">make<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token builtin\">int<\/span><span class=\"token punctuation\">,<\/span> mx<span class=\"token operator\">&#043;<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">for<\/span> i <span class=\"token operator\">:&#061;<\/span> <span class=\"token keyword\">range<\/span> sufMinF <span class=\"token punctuation\">{<\/span><br \/>\nsufMinF<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> math<span class=\"token punctuation\">.<\/span>MaxInt<br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\nminF <span class=\"token operator\">:&#061;<\/span> <span class=\"token function\">make<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token builtin\">int<\/span><span class=\"token punctuation\">,<\/span> mx<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\nf <span class=\"token operator\">:&#061;<\/span> <span class=\"token function\">make<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token builtin\">int<\/span><span class=\"token punctuation\">,<\/span> n<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token keyword\">range<\/span> k <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">for<\/span> i <span class=\"token operator\">:&#061;<\/span> <span class=\"token keyword\">range<\/span> minF <span class=\"token punctuation\">{<\/span><br \/>\nminF<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> math<span class=\"token punctuation\">.<\/span>MaxInt<br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/ 64. \u6700\u5c0f\u8def\u5f84\u548c&#xff08;\u7a7a\u95f4\u4f18\u5316\u5199\u6cd5&#xff09;<\/span><br \/>\n<span class=\"token keyword\">for<\/span> i <span class=\"token operator\">:&#061;<\/span> <span class=\"token keyword\">range<\/span> f <span class=\"token punctuation\">{<\/span><br \/>\nf<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> math<span class=\"token punctuation\">.<\/span>MaxInt <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\nf<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&#8211;<\/span>grid<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token comment\">\/\/ \u8d77\u70b9\u7684\u6210\u672c\u4e0d\u7b97<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token boolean\">_<\/span><span class=\"token punctuation\">,<\/span> row <span class=\"token operator\">:&#061;<\/span> <span class=\"token keyword\">range<\/span> grid <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">for<\/span> j<span class=\"token punctuation\">,<\/span> x <span class=\"token operator\">:&#061;<\/span> <span class=\"token keyword\">range<\/span> row <span class=\"token punctuation\">{<\/span><br \/>\nf<span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">min<\/span><span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#043;<\/span>x<span class=\"token punctuation\">,<\/span> f<span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#043;<\/span>x<span class=\"token punctuation\">,<\/span> sufMinF<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\nminF<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">min<\/span><span class=\"token punctuation\">(<\/span>minF<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> f<span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>done <span class=\"token operator\">:&#061;<\/span> <span class=\"token boolean\">true<\/span><br \/>\n<span class=\"token comment\">\/\/ \u8ba1\u7b97 minF \u7684\u540e\u7f00\u6700\u5c0f\u503c<\/span><br \/>\n<span class=\"token keyword\">for<\/span> i <span class=\"token operator\">:&#061;<\/span> mx<span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#8212;<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nmn <span class=\"token operator\">:&#061;<\/span> <span class=\"token function\">min<\/span><span class=\"token punctuation\">(<\/span>sufMinF<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> minF<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">if<\/span> mn <span class=\"token operator\">&lt;<\/span> sufMinF<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token punctuation\">{<\/span><br \/>\nsufMinF<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> mn<br \/>\ndone <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">false<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">if<\/span> done <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/ \u6536\u655b\u4e86&#xff1a;\u4f20\u9001\u4e0d\u6539\u53d8 sufMinF&#xff0c;\u90a3\u4e48\u65e0\u8bba\u518d\u4f20\u9001\u591a\u5c11\u6b21\u90fd\u4e0d\u4f1a\u6539\u53d8 sufMinF<\/span><br \/>\n<span class=\"token keyword\">break<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">return<\/span> f<span class=\"token punctuation\">[<\/span>n<span class=\"token punctuation\">]<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">func<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\ngrid <span class=\"token operator\">:&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token builtin\">int<\/span><span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">{<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">}<\/span><br \/>\nk <span class=\"token operator\">:&#061;<\/span> <span class=\"token number\">2<\/span><br \/>\nresult <span class=\"token operator\">:&#061;<\/span> <span class=\"token function\">minCost<\/span><span class=\"token punctuation\">(<\/span>grid<span class=\"token punctuation\">,<\/span> k<span class=\"token punctuation\">)<\/span><br \/>\nfmt<span class=\"token punctuation\">.<\/span><span class=\"token function\">Println<\/span><span class=\"token punctuation\">(<\/span>result<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260118222607-696d5dff4e0a6.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h2>Python\u5b8c\u6574\u4ee3\u7801\u5982\u4e0b&#xff1a;<\/h2>\n<p><span class=\"token comment\"># -*-coding:utf-8-*-<\/span><\/p>\n<p><span class=\"token keyword\">import<\/span> math<br \/>\n<span class=\"token keyword\">from<\/span> typing <span class=\"token keyword\">import<\/span> List<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">minCost<\/span><span class=\"token punctuation\">(<\/span>grid<span class=\"token punctuation\">:<\/span> List<span class=\"token punctuation\">[<\/span>List<span class=\"token punctuation\">[<\/span><span class=\"token builtin\">int<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> k<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    m<span class=\"token punctuation\">,<\/span> n <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>grid<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>grid<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> k <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">0<\/span> <span class=\"token keyword\">and<\/span> grid<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> grid<span class=\"token punctuation\">[<\/span>m<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><\/p>\n<p>    mx <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">max<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">max<\/span><span class=\"token punctuation\">(<\/span>row<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">for<\/span> row <span class=\"token keyword\">in<\/span> grid<span class=\"token punctuation\">)<\/span><\/p>\n<p>    sufMinF <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span>math<span class=\"token punctuation\">.<\/span>inf<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">*<\/span> <span class=\"token punctuation\">(<\/span>mx <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    minF <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span>math<span class=\"token punctuation\">.<\/span>inf<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">*<\/span> <span class=\"token punctuation\">(<\/span>mx <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    f <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span>math<span class=\"token punctuation\">.<\/span>inf<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">*<\/span> <span class=\"token punctuation\">(<\/span>n <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">for<\/span> _ <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span>k <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> i <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>minF<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            minF<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> math<span class=\"token punctuation\">.<\/span>inf<\/p>\n<p>        <span class=\"token comment\"># 64. \u6700\u5c0f\u8def\u5f84\u548c&#xff08;\u7a7a\u95f4\u4f18\u5316\u5199\u6cd5&#xff09;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> i <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            f<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> math<span class=\"token punctuation\">.<\/span>inf <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><br \/>\n        f<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&#8211;<\/span>grid<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span>  <span class=\"token comment\"># \u8d77\u70b9\u7684\u6210\u672c\u4e0d\u7b97<\/span><\/p>\n<p>        <span class=\"token keyword\">for<\/span> row <span class=\"token keyword\">in<\/span> grid<span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">for<\/span> j<span class=\"token punctuation\">,<\/span> x <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">enumerate<\/span><span class=\"token punctuation\">(<\/span>row<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                f<span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">min<\/span><span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#043;<\/span> x<span class=\"token punctuation\">,<\/span> f<span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#043;<\/span> x<span class=\"token punctuation\">,<\/span> sufMinF<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> f<span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> minF<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                    minF<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> f<span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><\/p>\n<p>        done <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><br \/>\n        <span class=\"token comment\"># \u8ba1\u7b97 minF \u7684\u540e\u7f00\u6700\u5c0f\u503c<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> i <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span>mx<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            mn <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">min<\/span><span class=\"token punctuation\">(<\/span>sufMinF<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> minF<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> mn <span class=\"token operator\">&lt;<\/span> sufMinF<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                sufMinF<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> mn<br \/>\n                done <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">False<\/span><\/p>\n<p>        <span class=\"token keyword\">if<\/span> done<span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token comment\"># \u6536\u655b\u4e86&#xff1a;\u4f20\u9001\u4e0d\u6539\u53d8 sufMinF&#xff0c;\u90a3\u4e48\u65e0\u8bba\u518d\u4f20\u9001\u591a\u5c11\u6b21\u90fd\u4e0d\u4f1a\u6539\u53d8 sufMinF<\/span><br \/>\n            <span class=\"token keyword\">break<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">[<\/span>n<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">if<\/span> __name__ <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token string\">&#034;__main__&#034;<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    grid <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    k <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">2<\/span><br \/>\n    result <span class=\"token operator\">&#061;<\/span> minCost<span class=\"token punctuation\">(<\/span>grid<span class=\"token punctuation\">,<\/span> k<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>result<span class=\"token punctuation\">)<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260118222607-696d5dff99135.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h2>C&#043;&#043;\u5b8c\u6574\u4ee3\u7801\u5982\u4e0b&#xff1a;<\/h2>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;iostream&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;vector&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;algorithm&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;climits&gt;<\/span><\/span><br \/>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> <span class=\"token function\">minCost<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span><span class=\"token operator\">&amp;<\/span> grid<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> k<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> m <span class=\"token operator\">&#061;<\/span> grid<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> n <span class=\"token operator\">&#061;<\/span> grid<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>k <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> grid<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> grid<span class=\"token punctuation\">[<\/span>m<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u627e\u5230\u77e9\u9635\u4e2d\u7684\u6700\u5927\u503c<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> mx <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> <span class=\"token keyword\">auto<\/span><span class=\"token operator\">&amp;<\/span> row <span class=\"token operator\">:<\/span> grid<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> val <span class=\"token operator\">:<\/span> row<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            mx <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">max<\/span><span class=\"token punctuation\">(<\/span>mx<span class=\"token punctuation\">,<\/span> val<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token function\">sufMinF<\/span><span class=\"token punctuation\">(<\/span>mx <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> INT_MAX<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token function\">minF<\/span><span class=\"token punctuation\">(<\/span>mx <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> INT_MAX<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token function\">f<\/span><span class=\"token punctuation\">(<\/span>n <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> INT_MAX <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> _ <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> _ <span class=\"token operator\">&lt;&#061;<\/span> k<span class=\"token punctuation\">;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>_<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u91cd\u7f6e minF<\/span><br \/>\n        <span class=\"token function\">fill<\/span><span class=\"token punctuation\">(<\/span>minF<span class=\"token punctuation\">.<\/span><span class=\"token function\">begin<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> minF<span class=\"token punctuation\">.<\/span><span class=\"token function\">end<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> INT_MAX<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ 64. \u6700\u5c0f\u8def\u5f84\u548c&#xff08;\u7a7a\u95f4\u4f18\u5316\u5199\u6cd5&#xff09;<\/span><br \/>\n        <span class=\"token function\">fill<\/span><span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">.<\/span><span class=\"token function\">begin<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> f<span class=\"token punctuation\">.<\/span><span class=\"token function\">end<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> INT_MAX <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        f<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&#8211;<\/span>grid<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u8d77\u70b9\u7684\u6210\u672c\u4e0d\u7b97<\/span><\/p>\n<p>        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> <span class=\"token keyword\">auto<\/span><span class=\"token operator\">&amp;<\/span> row <span class=\"token operator\">:<\/span> grid<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>j<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">int<\/span> x <span class=\"token operator\">&#061;<\/span> row<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token comment\">\/\/ \u8ba1\u7b97\u4e09\u4e2a\u53ef\u80fd\u503c\u7684\u6700\u5c0f\u503c<\/span><br \/>\n                <span class=\"token keyword\">int<\/span> val1 <span class=\"token operator\">&#061;<\/span> f<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#043;<\/span> x<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">int<\/span> val2 <span class=\"token operator\">&#061;<\/span> f<span class=\"token punctuation\">[<\/span>j <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#043;<\/span> x<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">int<\/span> val3 <span class=\"token operator\">&#061;<\/span> sufMinF<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                f<span class=\"token punctuation\">[<\/span>j <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">min<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>val1<span class=\"token punctuation\">,<\/span> val2<span class=\"token punctuation\">,<\/span> val3<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">[<\/span>j <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> minF<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                    minF<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> f<span class=\"token punctuation\">[<\/span>j <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">bool<\/span> done <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u8ba1\u7b97 minF \u7684\u540e\u7f00\u6700\u5c0f\u503c<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> mx<span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token operator\">&#8212;<\/span>i<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> mn <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">min<\/span><span class=\"token punctuation\">(<\/span>sufMinF<span class=\"token punctuation\">[<\/span>i <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> minF<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>mn <span class=\"token operator\">&lt;<\/span> sufMinF<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                sufMinF<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> mn<span class=\"token punctuation\">;<\/span><br \/>\n                done <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>done<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u6536\u655b\u4e86&#xff1a;\u4f20\u9001\u4e0d\u6539\u53d8 sufMinF&#xff0c;\u90a3\u4e48\u65e0\u8bba\u518d\u4f20\u9001\u591a\u5c11\u6b21\u90fd\u4e0d\u4f1a\u6539\u53d8 sufMinF<\/span><br \/>\n            <span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> f<span class=\"token punctuation\">[<\/span>n<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span> grid <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">{<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> k <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> result <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">minCost<\/span><span class=\"token punctuation\">(<\/span>grid<span class=\"token punctuation\">,<\/span> k<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    cout <span class=\"token operator\">&lt;&lt;<\/span> result <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260118222607-696d5dffdad9f.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2026-01-19&#xff1a;\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00&#xff0c;\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)&#xff0c;\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb&#xff1a;\u76f8\u90bb\u79fb\u52a8&#xff1a;\u5411\u53f3\u6216\u5411\u4e0b\u8d70\u4e00\u6b65&#xff08;\u4ece (i,j) \u5230 (i,j1) \u6216 (i1,j)&#xff09;&#xff0c;\u4ee3\u4ef7\u7b49\u4e8e\u4f60\u8fdb\u5165\u7684\u90a3\u4e2a\u683c\u5b50\u7684\u6570\u503c&#xff1b;\u4f20\u9001&#xff1a;\u4ece\u5f53\u524d\u683c\u5b50\u8df3\u5230\u4efb\u610f<\/p>\n","protected":false},"author":2,"featured_media":62005,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[99,1769,1578],"topic":[],"class_list":["post-62008","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-java","tag-mybatis","tag-1578"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>2026-01-19\uff1a\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00\uff0c\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)\uff0c\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/62008.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"2026-01-19\uff1a\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00\uff0c\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)\uff0c\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"2026-01-19&#xff1a;\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00&#xff0c;\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)&#xff0c;\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb&#xff1a;\u76f8\u90bb\u79fb\u52a8&#xff1a;\u5411\u53f3\u6216\u5411\u4e0b\u8d70\u4e00\u6b65&#xff08;\u4ece (i,j) \u5230 (i,j1) \u6216 (i1,j)&#xff09;&#xff0c;\u4ee3\u4ef7\u7b49\u4e8e\u4f60\u8fdb\u5165\u7684\u90a3\u4e2a\u683c\u5b50\u7684\u6570\u503c&#xff1b;\u4f20\u9001&#xff1a;\u4ece\u5f53\u524d\u683c\u5b50\u8df3\u5230\u4efb\u610f\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wsisp.com\/helps\/62008.html\" \/>\n<meta property=\"og:site_name\" content=\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"article:published_time\" content=\"2026-01-18T22:26:09+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260118222607-696d5dff4e0a6.png\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/62008.html\",\"url\":\"https:\/\/www.wsisp.com\/helps\/62008.html\",\"name\":\"2026-01-19\uff1a\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00\uff0c\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)\uff0c\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"isPartOf\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\"},\"datePublished\":\"2026-01-18T22:26:09+00:00\",\"dateModified\":\"2026-01-18T22:26:09+00:00\",\"author\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\"},\"breadcrumb\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/62008.html#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.wsisp.com\/helps\/62008.html\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/62008.html#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9875\",\"item\":\"https:\/\/www.wsisp.com\/helps\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"2026-01-19\uff1a\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00\uff0c\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)\uff0c\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\",\"url\":\"https:\/\/www.wsisp.com\/helps\/\",\"name\":\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"description\":\"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\",\"name\":\"admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"contentUrl\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"caption\":\"admin\"},\"sameAs\":[\"http:\/\/wp.wsisp.com\"],\"url\":\"https:\/\/www.wsisp.com\/helps\/author\/admin\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"2026-01-19\uff1a\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00\uff0c\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)\uff0c\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.wsisp.com\/helps\/62008.html","og_locale":"zh_CN","og_type":"article","og_title":"2026-01-19\uff1a\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00\uff0c\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)\uff0c\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","og_description":"2026-01-19&#xff1a;\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00&#xff0c;\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)&#xff0c;\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb&#xff1a;\u76f8\u90bb\u79fb\u52a8&#xff1a;\u5411\u53f3\u6216\u5411\u4e0b\u8d70\u4e00\u6b65&#xff08;\u4ece (i,j) \u5230 (i,j1) \u6216 (i1,j)&#xff09;&#xff0c;\u4ee3\u4ef7\u7b49\u4e8e\u4f60\u8fdb\u5165\u7684\u90a3\u4e2a\u683c\u5b50\u7684\u6570\u503c&#xff1b;\u4f20\u9001&#xff1a;\u4ece\u5f53\u524d\u683c\u5b50\u8df3\u5230\u4efb\u610f","og_url":"https:\/\/www.wsisp.com\/helps\/62008.html","og_site_name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","article_published_time":"2026-01-18T22:26:09+00:00","og_image":[{"url":"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260118222607-696d5dff4e0a6.png"}],"author":"admin","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"admin","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"5 \u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.wsisp.com\/helps\/62008.html","url":"https:\/\/www.wsisp.com\/helps\/62008.html","name":"2026-01-19\uff1a\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00\uff0c\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)\uff0c\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","isPartOf":{"@id":"https:\/\/www.wsisp.com\/helps\/#website"},"datePublished":"2026-01-18T22:26:09+00:00","dateModified":"2026-01-18T22:26:09+00:00","author":{"@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41"},"breadcrumb":{"@id":"https:\/\/www.wsisp.com\/helps\/62008.html#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.wsisp.com\/helps\/62008.html"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.wsisp.com\/helps\/62008.html#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u9996\u9875","item":"https:\/\/www.wsisp.com\/helps"},{"@type":"ListItem","position":2,"name":"2026-01-19\uff1a\u5e26\u4f20\u9001\u7684\u6700\u5c0f\u8def\u5f84\u6210\u672c\u3002\u7528go\u8bed\u8a00\uff0c\u7ed9\u5b9a\u4e00\u4e2a m\u00d7n \u7684\u6574\u6570\u77e9\u9635 grid \u548c\u4e00\u4e2a\u6574\u6570 k\u3002\u8d77\u70b9\u662f\u5de6\u4e0a\u89d2\u683c\u5b50 (0,0)\uff0c\u7ec8\u70b9\u662f\u53f3\u4e0b\u89d2\u683c\u5b50 (m\u22121,n\u22121)\u3002\u4f60\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u5f0f\u524d\u8fdb"}]},{"@type":"WebSite","@id":"https:\/\/www.wsisp.com\/helps\/#website","url":"https:\/\/www.wsisp.com\/helps\/","name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","description":"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41","name":"admin","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/","url":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","contentUrl":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","caption":"admin"},"sameAs":["http:\/\/wp.wsisp.com"],"url":"https:\/\/www.wsisp.com\/helps\/author\/admin"}]}},"_links":{"self":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/62008","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/comments?post=62008"}],"version-history":[{"count":0,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/62008\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/media\/62005"}],"wp:attachment":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/media?parent=62008"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/categories?post=62008"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/tags?post=62008"},{"taxonomy":"topic","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/topic?post=62008"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}